Maximum Subarray
Medium
Array
Divide and Conquer
Dynamic Programming
Given an integer array `nums`, find the subarray with the largest sum, and return *its sum*.
Example 1
Input: nums = [-2,1,-3,4,-1,2,1,-5,4]
Output: 6
Explanation: The subarray [4,-1,2,1] has the largest sum 6.
Example 2
Input: nums = [1]
Output: 1
Example 3
Input: nums = [5,4,-1,7,8]
Output: 23

Constraints

  • 1 <= nums.length <= 10⁵
  • -10⁴ <= nums[i] <= 10⁴
Time Complexity
O(n)
Space Complexity
O(1)
14
Case 1
Input: [-2,1,-3,4,-1,2,1,-5,4]
Expected: 6
Case 2
Input: [1]
Expected: 1
Case 3
Input: [5,4,-1,7,8]
Expected: 23